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- W1587459041 abstract "Let $u_t+f(u)_x=0$ be a strictly hyperbolic, genuinely nonlinear system of conservation laws of Temple class. In this paper, a continuous semigroup of solutions is constructed on a domain of ${{bf L}}^infty$ functions, with possibly unbounded variation. Trajectories depend Lipschitz continuously on the initial data, in the ${{bf L}}^1$ distance. Moreover, we show that a weak solution of the Cauchy problem coincides with the corresponding semigroup trajectory if and only if it satisfies an entropy condition of Oleinik type, concerning the decay of positive waves." @default.
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- W1587459041 date "2000-01-01" @default.
- W1587459041 modified "2023-10-11" @default.
- W1587459041 title "Stability of $L^infty$ solutions of Temple class systems" @default.
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- W1587459041 doi "https://doi.org/10.57262/die/1356061137" @default.
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